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Finding the Fourth Proportional to 2,356.68, 3,535 and 2,006.76

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Solution

The fourth proportional to 2,356.68, 3,535 and 2,006.76 is: 3,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.68 : 3,535 = 2,006.76 : x
  2. Step 2: Convert to fraction form
    2,356.68/3,535 = 2,006.76/x
  3. Step 3: Cross multiply
    2,356.68x = 3,535 × 2,006.76
  4. Step 4: Simplify right side
    2,356.68x = 7,093,896.60
  5. Step 5: Solve for x
    x = 7,093,896.60/2,356.68
  6. Step 6: Final answer
    x = 3,010.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.